Thanks for the lock. If the car had been a 1908, it would have been a Brasier, but, since it is a 1905, it is a Richard-Brasier, as Georges Richard did not leave the firm (to found Unic) until late in 1905.
The name of the coachbuilder could be tricky. There were not a lot of auto body builders in 1905, but there also isn't a lot of information available on those that did exist. I'll assume that this coachbuilder is French, and not so obscure, and call the puzzle car a: 1905 Richard-Brasier by Rothschild.